{"status": "success", "data": {"description_md": "In triangle $ABC$, side $AC$ and the perpendicular bisector of $BC$ meet in point $D$, and $BD$ bisects $\\angle ABC$.  If $AD = 9$ and $DC = 7$, what is the area of triangle $ABD$?\n\n$\\text{(A)}\\ 14 \\qquad \\text{(B)}\\ 21 \\qquad \\text{(C)}\\ 28 \\qquad \\text{(D)}\\ 14\\sqrt5 \\qquad \\text{(E)}\\ 28\\sqrt5$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>In triangle  <span class=\"katex--inline\">ABC</span> , side  <span class=\"katex--inline\">AC</span>  and the perpendicular bisector of  <span class=\"katex--inline\">BC</span>  meet in point  <span class=\"katex--inline\">D</span> , and  <span class=\"katex--inline\">BD</span>  bisects  <span class=\"katex--inline\">\\angle ABC</span> .  If  <span class=\"katex--inline\">AD = 9</span>  and  <span class=\"katex--inline\">DC = 7</span> , what is the area of triangle  <span class=\"katex--inline\">ABD</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\text{(A)}\\ 14 \\qquad \\text{(B)}\\ 21 \\qquad \\text{(C)}\\ 28 \\qquad \\text{(D)}\\ 14\\sqrt5 \\qquad \\text{(E)}\\ 28\\sqrt5</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "2002 AMC 12A Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc12A_p24", "prev": "/problem/02_amc12A_p22"}}